Radar angular ambiguity resolution

1. A radar system comprising:

an antenna array comprising multiple antenna elements, the antenna array configured to receive a radar signal using the multiple antenna elements; and

a processor configured to:

generate, based on the received radar signal and using digital beamforming, a spatial response across a field of view;

characterize a shape of the spatial response across the field of view based on two or more data points within the spatial response; and

determine, based on the shape of the spatial response, an angle of arrival of the radar signal to estimate an angular position of an object that reflected the radar signal.

2. The radar system of claim 1 , wherein:

the spatial response includes an amplitude response;

the shape of the amplitude response across the field of view includes at least two amplitude peaks and at least one amplitude null; and

the processor is further configured to determine the angle of arrival of the radar signal based on shapes of the at least two amplitude peaks and a shape of the at least one amplitude null.

3. The radar system of claim 2 , wherein:

the at least two amplitude peaks includes a first peak having a first amplitude and a second amplitude peak having a second amplitude; and

an amplitude difference between the first amplitude and the second amplitude is within an ambiguity threshold such that the amplitude difference, by itself, is insufficient for determining the angle of arrival of the radar signal.

4. The radar system of claim 1 , wherein the processor is configured to characterize the shape of the spatial response based on one or more of the following:

steepness of peak roll-offs within the spatial response;

widths of peaks within the spatial response;

widths of nulls within the spatial response;

angular locations of the peaks within the spatial response;

angular locations of the nulls within the spatial response;

heights of the peaks within the spatial response;

depths of the nulls within the spatial response; or

symmetry across the spatial response.

5. The radar system of claim 1 , wherein:

the spatial response includes a phase response;

the shape of the phase response across the field of view includes at least one phase peak and at least one phase null; and

the processor is further configured to determine the angle of arrival of the radar signal based on a shape of the at least one phase peak and a shape of the at least one phase null.

6. The radar system of claim 1 , wherein the field of view is greater than approximately ninety degrees.

7. The radar system of claim 1 , wherein:

the radar signal is associated with a frequency spectrum;

the frequency spectrum is associated with a center wavelength; and

the multiple antenna elements each have an element spacing that is greater than half of the center wavelength.

8. The radar system of claim 1 , wherein the multiple antenna elements comprise at least three antenna elements that are positioned in a triangular arrangement.

9. A method comprising:

receiving, via an antenna array, a radar signal using multiple antenna elements of the antenna array;

generating, based on the received radar signal and using digital beamforming, a spatial response across a field of view;

characterizing a shape of the spatial response across the field of view based on two or more data points within the spatial response; and

determining, based on the shape of the spatial response, an angle of arrival of the radar signal to estimate an angular position of an object that reflected the radar signal.

10. The method of claim 9 , wherein:

the spatial response includes an amplitude response;

the shape of the amplitude response across the field of view includes at least two amplitude peaks and at least one amplitude null; and

the determining the angle of arrival further comprises determining the angle of arrival based on shapes of the at least two amplitude peaks and a shape of the at least one amplitude null.

11. The method of claim 10 , wherein:

the at least two amplitude peaks includes a first peak having a first amplitude and a second amplitude peak having a second amplitude; and

an amplitude difference between the first amplitude and the second amplitude is within an ambiguity threshold.

12. The method of claim 9 , wherein the characterizing the shape of the spatial response comprises one or more of the following:

characterizing steepness of peak roll-offs within the spatial response;

characterizing widths of peaks within the spatial response;

characterizing widths of nulls within the spatial response;

characterizing angular locations of the peaks within the spatial response;

characterizing angular locations of the nulls within the spatial response;

characterizing heights of the peaks within the spatial response;

characterizing depths of the nulls within the spatial response; or

identifying symmetry across the spatial response.

13. The method of claim 9 , wherein:

the spatial response includes a phase response;

the shape of the phase response across the field of view includes at least one phase peak and at least one phase null; and

the determining the angle of arrival further comprises determining the angle of arrival based on a shape of the at least one phase peak and a shape of the at least one phase null.

14. A method comprising:

receiving, via an antenna array, a radar signal using multiple antenna elements of the antenna array, the radar signal comprising multiple frequencies associated with multiple frequency sub-spectrums;

generating, based on the received radar signal and using digital beamforming, spatial responses across a field of view, the spatial responses respectively associated with the multiple frequency sub-spectrums, each spatial response comprising an amplitude response having at least two amplitude peaks within the field of view, the amplitude peaks associated with an angular ambiguity; and

resolving the angular ambiguity to determine a direction to an object that reflected the radar signal, the resolving comprising:

characterizing a shape of at least one of the spatial responses across the field of view based on two or more data points within the spatial response, the shape identifying one of the amplitude peaks as being associated with the direction to the object; or

generating a phase coherence map using complex coherence and at least two of the spatial responses; and identifying the direction to the object based on the phase coherence map.

15. The method of claim 14 , wherein:

the generating of the phase coherence map comprises generating multiple phase coherence maps using different combinations of the spatial responses; and

the identifying of the direction comprises identifying a similar shape across the multiple phase coherence maps, the similar shape associated with the direction to the object.

16. The method of claim 14 , wherein the multiple frequency sub-spectrums comprise:

a first frequency sub-spectrum comprising frequencies between approximately 57 and 59 gigahertz; and

a second frequency sub-spectrum comprising frequencies between approximately 61 and 63 gigahertz.

17. The method of claim 14 , wherein bandwidths of the multiple frequency sub-spectrums are approximately equal.

18. The method of claim 17 , wherein the bandwidths are approximately two gigahertz.

19. The method of claim 14 , wherein the multiple frequency sub-spectrums comprise at least two frequency sub-spectrums that are contiguous.

20. The method of claim 14 , wherein the multiple frequency sub-spectrums comprise at least two frequency sub-spectrums that are disjoint.